arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2011.09904math.AC
收藏

多项式复合和某些类型的域扩张

Polynomial composites and certain types of fields extensions

Łukasz Matysiak

摘要:

在本文中,我考虑多项式复合系数从$K\subset L$。我们已经知道了许多性质,但我们不知道复合和域扩张之间是否存在关系这个问题的答案。我提出了一些已知的域扩张的多项式复合材料的表征。本文讨论了多项式复合理想在各种域扩张下的刻画问题。我还提出了某些域扩张的全部可能的表征。

英文摘要:

In this paper I consider polynomial composites with the coefficients from $K\subset L$. We already know many properties, but we do not know the answer to the question of whether there is a relationship between composites and field extensions. I present the characterization of some known field extensions in terms of polynomial composites. This paper contains the opening problem of characterization of ideals in polynomial composites with respect to various field extensions. I also present the full possible characterization of certain field extensions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑